Formal Verification Scientist (Lean 4 & Mathlib)
About The Role
What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians with hands-on experience in formal proof systems to translate rigorous human arguments into machine-verifiable Lean 4 formalizations — pushing the boundary of what automated reasoning can express and verify.
This is a fully remote, flexible contract role for mathematicians who love precision, structural elegance, and working at the cutting edge of mechanized mathematics.
• Organization: Alignerr
• Type: Hourly Contract
• Location: Remote
• Commitment: 10–40 hours/week
What You'll Do
• Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility
• Analyze proofs across domains — identifying hidden assumptions, logical gaps, and formalizable sub-structures
• Construct formalizations that test and extend the limits of existing proof assistants, especially where automated tools struggle or fail
• Investigate and articulate where and why automated provers break down — whether due to complexity, missing lemmas, or library gaps
• Develop Lean proof scripts that reveal deeper patterns and generalizations implicit in the original mathematics
• Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Who You Are
• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
• Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
• Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof systems — Lean 4 strongly preferred
• Are deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
• Can translate dense, informal mathematical arguments into precise, machine-verifiable formal structures
• Work independently with strong self-direction and attention to detail
Nice to Have
• Experience with large-scale formalization projects such as Mathlib
• Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
• Exposure to theorem provers where automated reasoning frequently requires manual scaffolding
• Prior experience with data annotation, evaluation, or quality assessment workflows
• Strong communication skills for documenting formalization decisions, edge cases, and reasoning strategies
Why Join Us
• Work directly with world-leading AI research teams on genuinely frontier problems in formal mathematics
• Fully remote and flexible — structure your hours around your life, with 10–40 hours per week
• Freelance autonomy with the intellectual depth of serious mathematical research
• Gain exposure to how advanced LLMs are trained and evaluated on formal reasoning tasks
• Contribute to work that expands the boundary of what machines can understand and verify
• Potential for ongoing work and contract extension as projects evolve
Apply tot his job
Apply To this Job
What if your deep mathematical training could directly shape how AI understands and reasons about formal proof? We're looking for mathematicians with hands-on experience in formal proof systems to translate rigorous human arguments into machine-verifiable Lean 4 formalizations — pushing the boundary of what automated reasoning can express and verify.
This is a fully remote, flexible contract role for mathematicians who love precision, structural elegance, and working at the cutting edge of mechanized mathematics.
• Organization: Alignerr
• Type: Hourly Contract
• Location: Remote
• Commitment: 10–40 hours/week
What You'll Do
• Translate informal mathematical proofs into clean, structured Lean 4 formalizations with an emphasis on clarity, correctness, and reproducibility
• Analyze proofs across domains — identifying hidden assumptions, logical gaps, and formalizable sub-structures
• Construct formalizations that test and extend the limits of existing proof assistants, especially where automated tools struggle or fail
• Investigate and articulate where and why automated provers break down — whether due to complexity, missing lemmas, or library gaps
• Develop Lean proof scripts that reveal deeper patterns and generalizations implicit in the original mathematics
• Collaborate with AI researchers to design and refine strategies for improving formal verification pipelines
• Provide expert guidance on proof decomposition, lemma selection, and structuring techniques for formal models
Who You Are
• Hold a Master's degree or higher in Mathematics, Logic, Theoretical Computer Science, or a closely related field
• Have a strong foundation in rigorous proof writing across areas such as algebra, analysis, topology, logic, or discrete mathematics
• Have hands-on experience with Lean (Lean 3 or Lean 4), Coq, Isabelle/HOL, Agda, or comparable proof systems — Lean 4 strongly preferred
• Are deeply enthusiastic about formal verification, proof assistants, and the future of mechanized mathematics
• Can translate dense, informal mathematical arguments into precise, machine-verifiable formal structures
• Work independently with strong self-direction and attention to detail
Nice to Have
• Experience with large-scale formalization projects such as Mathlib
• Familiarity with type theory, the Curry-Howard correspondence, and proof automation tools
• Exposure to theorem provers where automated reasoning frequently requires manual scaffolding
• Prior experience with data annotation, evaluation, or quality assessment workflows
• Strong communication skills for documenting formalization decisions, edge cases, and reasoning strategies
Why Join Us
• Work directly with world-leading AI research teams on genuinely frontier problems in formal mathematics
• Fully remote and flexible — structure your hours around your life, with 10–40 hours per week
• Freelance autonomy with the intellectual depth of serious mathematical research
• Gain exposure to how advanced LLMs are trained and evaluated on formal reasoning tasks
• Contribute to work that expands the boundary of what machines can understand and verify
• Potential for ongoing work and contract extension as projects evolve
Apply tot his job
Apply To this Job